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Finding the Third Proportional to 694,865,104 and 1,527,445,760

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Solution

The third proportional to 694,865,104 and 1,527,445,760 is: 3,357,616,516.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,865,104 : 1,527,445,760 = 1,527,445,760 : x
  2. Step 2: Convert to fraction form
    694,865,104/1,527,445,760 = 1,527,445,760/x
  3. Step 3: Cross multiply
    694,865,104x = 1,527,445,760 × 1,527,445,760
  4. Step 4: Simplify right side
    694,865,104x = 2,333,090,549,741,977,600
  5. Step 5: Solve for x
    x = 2,333,090,549,741,977,600/694,865,104
  6. Step 6: Final answer
    x = 3,357,616,516.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.